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Finding the Fourth Proportional to 3,629.62, 5,008.56 and 2,035.88

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Solution

The fourth proportional to 3,629.62, 5,008.56 and 2,035.88 is: 2,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.62 : 5,008.56 = 2,035.88 : x
  2. Step 2: Convert to fraction form
    3,629.62/5,008.56 = 2,035.88/x
  3. Step 3: Cross multiply
    3,629.62x = 5,008.56 × 2,035.88
  4. Step 4: Simplify right side
    3,629.62x = 10,196,827.13
  5. Step 5: Solve for x
    x = 10,196,827.13/3,629.62
  6. Step 6: Final answer
    x = 2,809.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.